On the displacements of an elastic half-space containing a rigid inhomogeneity

International Journal of Geomechanics

Volumn 1, Issue 2, 2001, Pages 149-174

  Selvadurai, A P S ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

HYDROELASTICITY; INTEGRAL EQUATIONS;

AXISYMMETRIC PROBLEMS; ELASTIC HALF SPACE; INHOMOGENEITIES; ISOTROPIC ELASTIC HALF SPACE; PRACTICAL IMPORTANCE; RIGID DISC; SURFACE LOADS;

GEOMETRY;

EID: 0346401014     PISSN: 15323641     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)1532-3641(2001)1:2(149)     Document Type: Article

References (27)

1. J. Boussinesq, Application des Potentials a L'etude de L'equilibre et du mouvement des solides Gauthier-Villars, Paris, 1885.
2. A.P.S. Selvadurai, On Boussineq's Problem,-. Int. J. Eng. Sci., 39, 317-322(2001).
3. L.A. Galin, Contact Problems in the Theory of Elasticity (Trans. Ed, I.N. Sneddon), North Carolina State College, Raleigh, N.C., 1961.
4. Ia.S. Ufliand, Survey of Articles on the Application of Integral Transforms in the Theory of Elasticity (Trans. Ed. I.N. Sneddon) North Carolina State College, Raleigh, N.C., 1965.
5. A.I. Lur'e, Three-Dimensional Problems in the Theory of Elasticity, Wiley Interscience, New York, 1964.
6. H.G. Poulos and E.H. Davis, Elastic Solutions in Soil and Rock Mechanics, John Wiley and Sons, New York, 1975.
7. A.P.S. Selvadurai, Elastic Analysis of Soil-Foundation Interaction, Developments in Geotechnical Engineering Vol. 17, Elsevier Scientific Publ. Co., Amsterdam, The Netherlands, 1979.
8. G.M.L. Gladwell, Contact Problems in the Classical Theory of Elasticity, Sijthoff and Noordoff, Alphen aan den Rijn, The Netherlands, 1980.
9. K.L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, 1985.
10. T. Mura, Micromechanics of Defects in Solids, Martinus Nijhoff Publishers, Dordrecht, The Netherlands, 1987.
11. R.O. Davis and A.P.S. Selvadurai, Elasticity and Geomechanics, Cambridge University Press, Cambridge, 1996.
12. M. Hetenyi, Beams and Plates on Elastic Foundations and Related Problems, Applied Mechanics Reviews, 19, 95-102 (1966).
13. L.E. Goodman, Development of the Three-Dimensional Theory of Elasticity, R.D. Mindlin and Applied Mechanics (G. Herrmann, Ed.), Pergamon Press, 25-65, 1974.
14. R.E. Gibson, The Analytical Method in Soil Mechanics, Geotechnique, 24, 115-140 (1974).
15. A.P.S. Selvadurai, Analytical Methods for Embedded Flat Anchor Problems in Geomechanics, Proc 8th Int. Conf. Computer Methods and Advances in Geomech. (H.J. Siriwardane and M.M. Zaman, Eds.), A.A. Balkema, The Netherlands, Vol. 1, 305-321 (1994).
16. A.P.S. Selvadurai, On the Mathematical Modelling of Certain Fundamental Elastostatic Contact Problems in Geomechanics, in Modelling in Geomechanics (M.M. Zaman, J.R. Booker, and G. Gioda, Eds.) John Wiley, New York, Chapter 13, pp. 301-328 (2000).
17. A.P.S. Selvadurai, The Axial Loading of a Rigid Circular Anchor Plate Embedded in an Elastic Halfspace, Int. J. Num. Analytical Methods in Geomech., 17, 343-353 (1993).
18. A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, Cambridge University Press, Cambridge, 1927.
19. A.P.S. Selvadurai, Partial Differential Equations in Mechanics. Vol. 2. The Biharmonic Equation and Poisson's Equation, Springer-Verlag, Berlin, 2000.
20. H.M. Westergaard, Elasticity and Plasticity, Harvard University Press, Massachusetts, 1952.
21. I.N. Sneddon, Fourier Transforms, McGraw-Hill, New York, 1951.
22. C.T.H. Baker, The Numerical Treatment of Integral Equations, Clarendon Press, Oxford, 1977.
23. L.M. Delves and J.L. Mohamed, Computational Methods fo r Integral Equations, Cambridge University Press, Cambridge, 1985.
24. K.E. Atkinson, The Numerical Solution of Integral Equations of the Second-Kind, Cambridge University Press, Cambridge, 1997.
25. A.P.S. Selvadurai, The Influence of a Boundary Fracture on the Elastic Stiffness of a Deeply Embedded Anchor Plate, Int. J. Numerical Analytical Methods in Geomech, 13, 159-170 (1989).
26. V.I. Mossakovskii, The Fundamental Mixed Boundary Problem of the Theory of Elasticity for a Half- Space with a Circular Line Separating the Boundary Conditions, Prikl. Math. Mekh, 18, 187-196 (1954).
27. Ia.S. Ufliand, The Contact Problem of the Theory of Elasticity for Die, Circular in its Plane, in the Presence of Adhesion, Prikl. Math. Mekh., 20, 578-587 (1956).